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Finding the Fourth Proportional to 8,978.49, 13,470.48 and 4,599.06

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Solution

The fourth proportional to 8,978.49, 13,470.48 and 4,599.06 is: 6,900.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,978.49 : 13,470.48 = 4,599.06 : x
  2. Step 2: Convert to fraction form
    8,978.49/13,470.48 = 4,599.06/x
  3. Step 3: Cross multiply
    8,978.49x = 13,470.48 × 4,599.06
  4. Step 4: Simplify right side
    8,978.49x = 61,951,545.75
  5. Step 5: Solve for x
    x = 61,951,545.75/8,978.49
  6. Step 6: Final answer
    x = 6,900.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.